IGCSE Further Pure

OPTIONAL SUBJECT : FURTHER PURE MATHEMATICS 

Edexcel IGCSE 4PM1

AIMS

The Further Pure Mathematics course is available as an option to learners with both a passion for mathematics and a strong record of success. Admission to this course is by approval. Learners choosing this option will take the Mathematics A (Higher) examination at the end of Year 10 and the Further Pure Mathematics examination at the end of Year 11. The Higher course will be completed in Year 10, and the Further Pure course will follow that in Year 11.

This syllabus should enable learners to:

• Consolidate and extend their elementary mathematical skills, and use these in the context of more-advanced techniques;

• Further develop their knowledge of mathematical concepts and principles, and use this knowledge for problem solving;

• Appreciate the interconnectedness of mathematical knowledge;

• Acquire a suitable foundation in mathematics for further study in the subject or in related subjects;

• Devise and use mathematical arguments which are present precisely and logically;

• Integrate information technology (IT) to enhance the mathematical experience;

• Develop confidence to apply their mathematical skills and knowledge in appropriate situations;

• Develop creativity and perseverance in the approach to solving problems;

• Derive enjoyment and satisfaction from engaging in mathematical pursuits, and gain an appreciation of the beauty, power and usefulness of mathematics.

COURSE OUTLINE

The following topics are covered:

• Logarithmic functions and surds

• The quadratic function

• Identities and inequalities

• Polynomial, reciprocal functions and graphs

• Sequences and series

• The binomial series

• Scalar and vector quantities

• Rectangular Cartesian Coordinates

• Further calculus

• Further trigonometry

ASSESSMENT

Learners sit two written papers. The assessment outline is shown in the following table:

Component Description Time Weighting

Paper 1 Calculator; approximately 11 questions, 100 marks 120 minutes 50%

Paper 2 Calculator; approximately 11 questions, 100 marks 120 minutes 50%

All papers are externally marked.

Learners will be given a copy of the textbook below to use.